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Finding the Third Proportional to 51,725.25 and 82,977.75

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Solution

The third proportional to 51,725.25 and 82,977.75 is: 133,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,725.25 : 82,977.75 = 82,977.75 : x
  2. Step 2: Convert to fraction form
    51,725.25/82,977.75 = 82,977.75/x
  3. Step 3: Cross multiply
    51,725.25x = 82,977.75 × 82,977.75
  4. Step 4: Simplify right side
    51,725.25x = 6,885,306,995.06
  5. Step 5: Solve for x
    x = 6,885,306,995.06/51,725.25
  6. Step 6: Final answer
    x = 133,113.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.